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Finding the Third Proportional to 3,020,984,901 and 4,665,636,571.50

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Solution

The third proportional to 3,020,984,901 and 4,665,636,571.50 is: 7,205,651,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020,984,901 : 4,665,636,571.50 = 4,665,636,571.50 : x
  2. Step 2: Convert to fraction form
    3,020,984,901/4,665,636,571.50 = 4,665,636,571.50/x
  3. Step 3: Cross multiply
    3,020,984,901x = 4,665,636,571.50 × 4,665,636,571.50
  4. Step 4: Simplify right side
    3,020,984,901x = 21,768,164,617,318,273,024
  5. Step 5: Solve for x
    x = 21,768,164,617,318,273,024/3,020,984,901
  6. Step 6: Final answer
    x = 7,205,651,577.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.